Quantized fuzzy finite-Time control for nonlinear semi-markov switching systems

Wenhai Qi; Meng Gao; Choon Ki Ahn; Jinde Cao; Jun Cheng; Lihua Zhang

doi:10.1109/TCSII.2019.2962250

Quantized fuzzy finite-Time control for nonlinear semi-markov switching systems

Wenhai Qi, Meng Gao, Choon Ki Ahn, Jinde Cao, Jun Cheng, Lihua Zhang

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

This brief considers quantized control for finite-Time synthesis of nonlinear semi-Markov switching systems (S-MSSs) via T-S fuzzy strategy. The stochastic phenomena of structural and parametric changes are modeled by the semi-Markov process, in which the sojourn-Time (ST) is deemed to obey a non-exponential distribution. Compared with previous works, the input quantization is firstly investigated for studying the finite-Time control via a logarithmic quantizer. A key issue under the consideration is how to design a fuzzy-model-based finite-Time control law in the presence of quantized error. For this purpose, by using the key point of Lyapunov function, the finite-Time boundedness (FTBs) performance is analyzed via establishing sojourn-Time-dependent sufficient conditions within a given finite-Time level. Then, the existence of a quantized controller is given in standard LMIs. Finally, an example for an electric circuit shows the effectiveness of the finite-Time control scheme.

Original language	English
Article number	8943166
Pages (from-to)	2622-2626
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	67
Issue number	11
DOIs	https://doi.org/10.1109/TCSII.2019.2962250
Publication status	Published - 2020 Nov

Keywords

Finite-Time boundedness
Lyapunov function
sojourn-Time

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCSII.2019.2962250

Cite this

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title = "Quantized fuzzy finite-Time control for nonlinear semi-markov switching systems",

abstract = "This brief considers quantized control for finite-Time synthesis of nonlinear semi-Markov switching systems (S-MSSs) via T-S fuzzy strategy. The stochastic phenomena of structural and parametric changes are modeled by the semi-Markov process, in which the sojourn-Time (ST) is deemed to obey a non-exponential distribution. Compared with previous works, the input quantization is firstly investigated for studying the finite-Time control via a logarithmic quantizer. A key issue under the consideration is how to design a fuzzy-model-based finite-Time control law in the presence of quantized error. For this purpose, by using the key point of Lyapunov function, the finite-Time boundedness (FTBs) performance is analyzed via establishing sojourn-Time-dependent sufficient conditions within a given finite-Time level. Then, the existence of a quantized controller is given in standard LMIs. Finally, an example for an electric circuit shows the effectiveness of the finite-Time control scheme. ",

keywords = "Finite-Time boundedness, Lyapunov function, sojourn-Time",

author = "Wenhai Qi and Meng Gao and Ahn, {Choon Ki} and Jinde Cao and Jun Cheng and Lihua Zhang",

note = "Funding Information: Manuscript received November 8, 2019; accepted December 21, 2019. Date of publication December 25, 2019; date of current version November 4, 2020. This work was supported by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This brief was recommended by Associate Editor D. Giaouris. (Corresponding author: Wenhai Qi.) Wenhai Qi, Meng Gao, and Lihua Zhang are with the School of Engineering, Qufu Normal University, Rizhao 276826, China (e-mail: qiwhtanedu@163.com; 18769341863@163.com; zhanglh72@126.com). Publisher Copyright: {\textcopyright} 2004-2012 IEEE.",

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doi = "10.1109/TCSII.2019.2962250",

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AU - Cheng, Jun

AU - Zhang, Lihua

N1 - Funding Information: Manuscript received November 8, 2019; accepted December 21, 2019. Date of publication December 25, 2019; date of current version November 4, 2020. This work was supported by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This brief was recommended by Associate Editor D. Giaouris. (Corresponding author: Wenhai Qi.) Wenhai Qi, Meng Gao, and Lihua Zhang are with the School of Engineering, Qufu Normal University, Rizhao 276826, China (e-mail: qiwhtanedu@163.com; 18769341863@163.com; zhanglh72@126.com). Publisher Copyright: © 2004-2012 IEEE.

PY - 2020/11

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N2 - This brief considers quantized control for finite-Time synthesis of nonlinear semi-Markov switching systems (S-MSSs) via T-S fuzzy strategy. The stochastic phenomena of structural and parametric changes are modeled by the semi-Markov process, in which the sojourn-Time (ST) is deemed to obey a non-exponential distribution. Compared with previous works, the input quantization is firstly investigated for studying the finite-Time control via a logarithmic quantizer. A key issue under the consideration is how to design a fuzzy-model-based finite-Time control law in the presence of quantized error. For this purpose, by using the key point of Lyapunov function, the finite-Time boundedness (FTBs) performance is analyzed via establishing sojourn-Time-dependent sufficient conditions within a given finite-Time level. Then, the existence of a quantized controller is given in standard LMIs. Finally, an example for an electric circuit shows the effectiveness of the finite-Time control scheme.

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Quantized fuzzy finite-Time control for nonlinear semi-markov switching systems

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